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If a number is chosen at random from the set {1, 2, 3, ...., 100}, then the probability that the chosen number is a perfect cube is___________?

Correct answer: A. 1/25

  • A. 1/25
  • B. 1/2
  • C. 4/13
  • D. 1/10

Explanation

The perfect cubes from 1 to 100 are 1, 8, 27 and 64, so there are 4 favourable outcomes out of 100. Thus the probability is 4/100 = 1/25. The likely mistake is choosing 1/10 by counting 10 possible cube roots instead of only the cubes that lie within the given set.

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